Is 0 a number or the absence of one?

>>9162387
imo its a number
but how do you define number?

Is an empty set a set?

>>9162387
a number

an example of absence is the 3
in 1245

>>9162390

The first Peano Axiom states that 0 is a natural number, next these axioms define a function S(x), that takes x and outputs the successor of x
You start at 0, do S(0) and call that 1, then S(1) and call that 2, then by induction u have the natural numbers

>>9162390
>>9162445
If u want a article to see how it works here:
https://en.wikipedia.org/wiki/Peano_axioms

>>9162387
por que no los dos

>>9162444
There are 0 3's in the number 1245

>>9162387
its the sum of all numbers

>>9162734
Good boy! Any day now, you'll be a scientist!

0 is 'placeholder value'

All maths need share a unified 'we all agree that we don't want a 0 out of our equations, but everything else we can bicker/argue over'.

>>9162390
>>9162444
>>9164143

>hurr having 0 apples is an amount of apple

This is what mathematicians actually believe

The entire field has been on eternal suicide watch since Godel proved all math is a house of cards

Zero is absence of a number defined as a number.